23682320 has 40 divisors (see below), whose sum is σ = 55275480. Its totient is φ = 9436160.

The previous prime is 23682319. The next prime is 23682367. The reversal of 23682320 is 2328632.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 795664 + 22886656 = 892^2 + 4784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 23682320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30740 + ... + 31500.

It is an arithmetic number, because the mean of its divisors is an integer number (1381887).

Almost surely, 2^23682320 is an apocalyptic number.

23682320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23682320 is an abundant number, since it is smaller than the sum of its proper divisors (31593160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23682320 is a wasteful number, since it uses less digits than its factorization.

23682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 23682320 is about 4866.4483969318. The cubic root of 23682320 is about 287.1715518205.

The spelling of 23682320 in words is "twenty-three million, six hundred eighty-two thousand, three hundred twenty".